Solve 635/72=-5/2(-11/-4+x)

$$\frac { 635 } { 72 } = - \frac { 5 } { 2 } ( - \frac { 11 } { - 4 } + x )$$

Solve for x

$$x = -\frac{113}{18} = -6\frac{5}{18} \approx -6.277777778$$

Steps for Solving Linear Equation

Multiply both sides by -\frac{2}{5}, the reciprocal of -\frac{5}{2}.

$$\frac{635}{72}\left(-\frac{2}{5}\right)=-\frac{11}{-4}+x$$

Multiply \frac{635}{72} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{635\left(-2\right)}{72\times 5}=-\frac{11}{-4}+x$$

Do the multiplications in the fraction \frac{635\left(-2\right)}{72\times 5}.

$$\frac{-1270}{360}=-\frac{11}{-4}+x$$

Reduce the fraction \frac{-1270}{360} to lowest terms by extracting and canceling out 10.

$$-\frac{127}{36}=-\frac{11}{-4}+x$$

Fraction \frac{11}{-4} can be rewritten as -\frac{11}{4} by extracting the negative sign.

$$-\frac{127}{36}=-\left(-\frac{11}{4}\right)+x$$

The opposite of -\frac{11}{4} is \frac{11}{4}.

$$-\frac{127}{36}=\frac{11}{4}+x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{11}{4}+x=-\frac{127}{36}$$

Subtract \frac{11}{4} from both sides.

$$x=-\frac{127}{36}-\frac{11}{4}$$

Least common multiple of 36 and 4 is 36. Convert -\frac{127}{36} and \frac{11}{4} to fractions with denominator 36.

$$x=-\frac{127}{36}-\frac{99}{36}$$

Since -\frac{127}{36} and \frac{99}{36} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{-127-99}{36}$$

Subtract 99 from -127 to get -226.

$$x=\frac{-226}{36}$$

Reduce the fraction \frac{-226}{36} to lowest terms by extracting and canceling out 2.

$$x=-\frac{113}{18}$$